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Year 9 Expanding Brackets Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 Expanding Brackets Worksheet — Level 3 — Practice Set 2 — Answers

Multiply every term inside the bracket. Then collect like terms.

1.Expand and simplify: (3x + 4)(2x − 4)

Answer: 6x2 − 4x − 16

  1. 3x × 2x = 6x2
  2. 3x × −4 + 4 × 2x = −12x + 8x = −4x
  3. 4 × −4 = −16
2.Expand and simplify: (2x − 3)(2x − 7)

Answer: 4x2 − 20x + 21

  1. 2x × 2x = 4x2
  2. 2x × −7 + −3 × 2x = −14x + −6x = −20x
  3. −3 × −7 = 21
3.Expand and simplify: (2x − 1)(x − 1)

Answer: 2x2 − 3x + 1

  1. 2x × x = 2x2
  2. 2x × −1 + −1 × x = −2x + −x = −3x
  3. −1 × −1 = 1
4.Expand and simplify: (4x + 1)(3x − 5)

Answer: 12x2 − 17x − 5

  1. 4x × 3x = 12x2
  2. 4x × −5 + 1 × 3x = −20x + 3x = −17x
  3. 1 × −5 = −5
5.Expand and simplify: (4x − 2)(3x − 3)

Answer: 12x2 − 18x + 6

  1. 4x × 3x = 12x2
  2. 4x × −3 + −2 × 3x = −12x + −6x = −18x
  3. −2 × −3 = 6
6.Expand and simplify: (4x + 1)(2x − 6)

Answer: 8x2 − 22x − 6

  1. 4x × 2x = 8x2
  2. 4x × −6 + 1 × 2x = −24x + 2x = −22x
  3. 1 × −6 = −6
7.Expand and simplify: (3x − 1)(x − 2)

Answer: 3x2 − 7x + 2

  1. 3x × x = 3x2
  2. 3x × −2 + −1 × x = −6x + −x = −7x
  3. −1 × −2 = 2
8.Expand and simplify: (4x + 2)(3x + 5)

Answer: 12x2 + 26x + 10

  1. 4x × 3x = 12x2
  2. 4x × 5 + 2 × 3x = 20x + 6x = 26x
  3. 2 × 5 = 10
9.Expand and simplify: (2x + 3)(x − 5)

Answer: 2x2 − 7x − 15

  1. 2x × x = 2x2
  2. 2x × −5 + 3 × x = −10x + 3x = −7x
  3. 3 × −5 = −15
10.Expand and simplify: (3x + 4)(x + 3)

Answer: 3x2 + 13x + 12

  1. 3x × x = 3x2
  2. 3x × 3 + 4 × x = 9x + 4x = 13x
  3. 4 × 3 = 12
11.Expand and simplify: (4x + 7)(x − 3)

Answer: 4x2 − 5x − 21

  1. 4x × x = 4x2
  2. 4x × −3 + 7 × x = −12x + 7x = −5x
  3. 7 × −3 = −21
12.Expand and simplify: (2x − 2)(2x + 6)

Answer: 4x2 + 8x − 12

  1. 2x × 2x = 4x2
  2. 2x × 6 + −2 × 2x = 12x + −4x = 8x
  3. −2 × 6 = −12
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